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What is the Square Root of 288?

The square root of 288 is 16.9705627485. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√288 = 16.9705627485
CalculatedNon-perfect squareIrrational
Exact form√288
Perfect squareNo
Number typeIrrational
Verification16.97056274852 ≈ 288

On this page

How the answer is calculated

We solve x2 = 288. The resulting value is x = 16.9705627485.

Verification: 16.97056274852 ≈ 288.

Simplified radical form

The square root of 288 in simplified radical form is 12√2.

This is equivalent to √288, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16256
Upper or equal17289

Nearby square roots

NumberSquare root
√28516.8819430161
√28616.9115345253
√28716.9410743461
√28816.9705627485
√28917
√29017.0293863659
√29117.0587221092

Number properties

Is 288 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√288 is irrational because 288 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 288.